SOLUTION: 1. What is the number: It is a two digit number less than 50 The sum of its digits is 12 Their difference is 4. 2. what is the number: One of its dig

Question 759578: 1. What is the number:
It is a two digit number less than 50
The sum of its digits is 12
Their difference is 4.
2. what is the number:
One of its digits is half the other
The number is greater than 50

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
1. What is the number:
It is a two digit number less than 50
Let and be the digits.

"The sum of its digits is 12" translates as .
"Their difference is 4" translates as .
That gives a a system of equations.
The system ----> the solution:
-->
WIth those two digits we can make and , and only
is less than 50

2. what is the number:
One of its digits is half the other
The number is greater than 50
With only those two conditions, there is more than one solution.
To make the number is greater than 50, the tens digit must be 5 or greater, so it cannot be half of another digit.
It must be that the units digit is half of the tens digit.
So, the tens digit is at least 5 and is an even number.
It could be or , and the numbers could be
or .
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